Question

3^3x^4y^-3 > 3^-5xy^3

Answer 1

3^3x^4y^-3 > 3^-5xy^3
There are 2 cases,
case 1: xy>0
Multiply each side by 3^(-3)/(xy^3) to get
\[x^{3}y^{-6} >3^{-8} \]
case 2: xy<0
\[x^{3}y^{-6} <3^{-8} \]